12 Magnetic circuits

12 Magnetic circuits - Lecture 14 Magnetic Circuits An

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Lecture 14 Magnetic Circuits An electromagnetic-mechanical system is formed with the following blocks. We know that the integral form of Ampere’s Law is CS H dl J dS = ∫∫ ii L . Considering the next figure, an iron core with cross-sectional area A and with mean length of perimeter l, several assumptions were made: Ampere’s Law Material properties Faraday’s Law Ohm’s Law, KCL, and KVL Lorenz’s Law and energy conservation Newton’s and Lagrange’s Laws Speed, displacement e B, Φ H i
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1. H is tangential to the path. 2. H H ± is constant throughout the path. 3. There is no field outside the iron. Since there are N turns in the coil then H lN i = . Consider now an iron core with an air gap. Figure 1 - Iron core with air gap Let l c be the mean length of the iron core and g the length of the air gap, then by Ampere’s Law, cc g C H dl H l H g Ni =+= i ± We need to relate the field in the core and in the gap with a common variable in order to solve the equation. The magnetic field density B is related to the magnetic field intensity
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This note was uploaded on 01/27/2011 for the course ECSE 361 taught by Professor Franciscodgaliana during the Spring '09 term at McGill.

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12 Magnetic circuits - Lecture 14 Magnetic Circuits An

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